Question

question 25 of 25
what is the length of side s of the square shown below?

a. $3\sqrt{2}$
b. $6\sqrt{2}$
c. 6
d. 3
e. 2
f. $\sqrt{6}$

Explanation:

Step1: Apply Pythagorean theorem

For a square, diagonal $d$ and side $s$ satisfy $s^2 + s^2 = d^2$. Here, $d=6$, so:
$$2s^2 = 6^2$$

Step2: Simplify the equation

Calculate $6^2=36$, then solve for $s^2$:
$$s^2 = \frac{36}{2} = 18$$

Step3: Solve for $s$

Take the square root of both sides and simplify:
$$s = \sqrt{18} = \sqrt{9 \times 2} = 3\sqrt{2}$$

Answer:

A. $3\sqrt{2}$